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1005140131 = 10713277079
BaseRepresentation
bin111011111010010…
…011100010100011
32121001100102001021
4323322103202203
54024303441011
6243423350311
733623356462
oct7372234243
92531312037
101005140131
11476414726
12240752397
13130319998
14976c89d9
155d399471
hex3be938a3

1005140131 has 8 divisors (see below), whose sum is σ = 1015441920. Its totient is φ = 994855368.

The previous prime is 1005140119. The next prime is 1005140137. The reversal of 1005140131 is 1310415001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1005140131 is a prime.

It is a super-2 number, since 2×10051401312 = 2020613365893394322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005140137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138450 + ... + 145528.

It is an arithmetic number, because the mean of its divisors is an integer number (126930240).

Almost surely, 21005140131 is an apocalyptic number.

1005140131 is a deficient number, since it is larger than the sum of its proper divisors (10301789).

1005140131 is a wasteful number, since it uses less digits than its factorization.

1005140131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8513.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1005140131 is about 31703.9450384333. The cubic root of 1005140131 is about 1001.7104496938.

Adding to 1005140131 its reverse (1310415001), we get a palindrome (2315555132).

The spelling of 1005140131 in words is "one billion, five million, one hundred forty thousand, one hundred thirty-one".

Divisors: 1 107 1327 7079 141989 757453 9393833 1005140131